In this program
- Vector spaces and bases
- Linear maps and matrices
- Determinants (theory)
- Eigenvalues and diagonalization
- Inner products and the spectral theorem (intro)
Eigenvalues and diagonalization
Linear algebra · Standard syllabus
Eigenvalues and eigenvectors
Objectives
- Eigenvalues and eigenvectors
- Characteristic polynomials
- Invariant subspaces
- Triangularization over C (intro)
- Diagonalizability criteria; algebraic vs geometric multiplicity
- Applications to systems of linear ODEs (light touch)
Study materials
- Study guideComing soon
- Exam StrategyComing soon
- Common MistakesComing soon
- WorksheetsComing soon
- Word problemsComing soon
- Mixed PracticeComing soon
- Multi-Unit ProblemsComing soon
- ReviewComing soon
- Practice testComing soon
- Answer keyComing soon
Interactive practice
Quizzes, typed answers, and flashcards for this unit — coming soon.
- Coming soon
Quiz
Multiple-choice questions with instant feedback
- Coming soon
Typed practice
Type answers and check them
- Coming soon
Flashcards
Vocabulary and key facts
- Coming soon
Mixed quiz
Harder mixed review for this standard